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Finding the Fourth Proportional to 317.08, 437.54 and 186.06

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Solution

The fourth proportional to 317.08, 437.54 and 186.06 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 437.54 = 186.06 : x
  2. Step 2: Convert to fraction form
    317.08/437.54 = 186.06/x
  3. Step 3: Cross multiply
    317.08x = 437.54 × 186.06
  4. Step 4: Simplify right side
    317.08x = 81,408.69
  5. Step 5: Solve for x
    x = 81,408.69/317.08
  6. Step 6: Final answer
    x = 256.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.